Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.
b
The diagram is not drawn to scale.​

The transformations of f(x) when compared to the parent function is the graph of [tex]f(x)=x^2+5[/tex] is moved 5 units up

Transformation of function is transforming a function from one form to another form .

f(x)-> f(x)+a , f(x) will be moved 'a' units up

f(x)-> f(x)-a , f(x) will be moved 'a' units down

f(x)-> f(x-a) , f(x) will be moved 'a' units right

f(x)-> f(x+a) , f(x) will be moved 'a' units left

f(x)-> -f(x), f(x) will be reflected across x-axis

f(x)-> f(-x), f(x) will be reflected across y-axis

For quadratic, the parent function is [tex]f(x)=x^2[/tex]

Given that [tex]f(x)=x^2+5[/tex]

Here , 5 is added with f(x) at the end

f(x)-> f(x)+a , f(x) will be moved 'a' units up

[tex]f(x)=x^2 ------ > f(x) =x^2+5[/tex]

The graph of f(x) will be move 5 units up

the transformations of f(x) when compared to the parent function is the graph is moved 5 units up

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Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

10.2

Step-by-step explanation:

The B of years it took to the given principal to amount $910 is 3.4 years.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = [tex]A=P(1+\frac{r}{100})^{nt}[/tex].

Given that, principal =$750, rate of interest =1.9% and amount=$910.

Let the number of years be x and compounded quarterly.

Here, 910=750(1+ 1.9/100)³ˣ

910/750 =(1+0.019)³ˣ

1.213=(1.019)³ˣ

Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x=ln(1.213)/3ln(1.019)

Decimal Form: 3.419

≈ 3.4 years

Therefore, the number of years it took to principal to reach $910 is 3.4 years.

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Answer:

Step-by-step explanation:

x² - 12x + a = (x + b)²

x² - 12x + a = x² + 2xb + b²

-12 = 2b and a = b²

b = -6

a = b² = 36

The value of a is 36 and b = -6.

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of: ax² + bx + c = 0.

The given expression is;

[tex]\rm x^2-12x+a=(x+b)^2[/tex]

The solution of the equation is determined in the folllowing steps given below.

[tex]\rm x^2-12x+a=(x+b)^2\\\\x^2-12x+a=x^2+2xb+b^2\\\\2xb + b^2 = a-12x[/tex]

On comparing the equation

[tex]\rm 2b =-12\\\\b =\dfrac{-12}{2}\\\\b=-6[/tex]

The value of a is;

[tex]\rm a=b^2\\\\b=-6\\\\a=(-6)^2\\\\a=36[/tex]

Hence, the value of a is 36 and b = -6.

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Answer:

Step-by-step explanation:

You would multiply 24 hours by 60 minutes and then multiply my answer by

60 Seconds.

There are 86400 seconds in one full day

Answer: y= 4

x = 8

Step-by-step explanation:

Answer:

C

I may be wrong sorry if I am

Answer:

The answer is C

Step-by-step explanation:

Since they both have a negative y and Quardant 4 has a positive x

Answer:

That's the answer look at the picture

Answer:

[tex] \frac{15625}{4096} [/tex]

Answer:

0.000000004 = 4 hundred millionths probability Brent will win the jackpot.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

1 desired combination out of 258,890,850. So

[tex]p = \frac{1}{258890850} = 0.000000004[/tex]

9 places after the decimal point is hundred millionths

0.000000004 = 4 hundred millionths probability Brent will win the jackpot.

Answer:

5

Step-by-step explanation:

use the distributive property

6 * 1/2 = 3

6 * 1/3 = 2

3 + 2 = 5

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!

-Lil G

Answer:

75

Step-by-step explanation:

f(x)=-x^2-10x

f(-5)=(-5)^2-10(-5)

f(-5)=(-5)(-5)+50

f(-5)=25+50

f(-5)=75

Answer:

Answer = 52

5+47= 52

done

Answer:

tanФ = [tex]\frac{\sqrt{2}}{2}[/tex], cscФ = 3, secФ = [tex]\frac{3\sqrt{2} }{4}[/tex], cotФ = [tex]2\sqrt{2}[/tex]

Step-by-step explanation:

tanФ=   [tex]\frac{1}{2\sqrt{2} } =\frac{2\sqrt{2}}{8} =\frac{\sqrt{2} }{2}[/tex]

cscФ=   [tex]3[/tex]

secФ=   [tex]\frac{3}{2\sqrt{2}} =\frac{6\sqrt{2}}{8} =\frac{3\sqrt{2}}{4}[/tex]

cotФ= [tex]2\sqrt{2}[/tex]

=============================================================

Explanation:

Notice the double tickmarks on segments WZ and ZY. This tells us the two segments are the same length. Let's say they are m units long, where m is a placeholder for a positive number.

That would mean m+m = 2m represents the length of segment WY, but that's equal to 10 as the diagram shows. We have 2m = 10 lead to m = 5 after dividing both sides by 2.

We've shown that WZ and ZY are 5 units long each. In short, we just cut that length of 10 in half.

-----------------------------------

Let's focus on triangle XYZ. This is a right triangle with legs XZ = unknown and ZY = 5. The hypotenuse is XY = 13.

We'll use the pythagorean theorem to find XZ

a^2 + b^2 = c^2

(XZ)^2 + (ZY)^2 = (XY)^2

(XZ)^2 + (5)^2 = (13)^2

(XZ)^2 + 25 = 169

(XZ)^2 = 169-25

(XZ)^2 = 144

XZ = sqrt(144)

XZ = 12

Segment XZ is 12 inches long.

Answer:

Step-by-step explanation:

Answer: Step 1 box= 19 (2+3+4+5+5)

Step 2 box= 3.8 (19 divided by 5)

Step-by-step explanation:

You add together the numbers to get 19, the you divide the number by five because you added 5 numbers together.

You had it just right on the bottom. Your equation was perfect. It doesn't matter if you get a decimal number.

Your answers are right too, I double checked.

Hope I was helpful.

Answer:

1,000

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 1000}[/tex]

Step-by-step explanation:

10³

This means that 10 is being repeated 3 times.

So,

= 10 * 10 * 10

= 1000

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

-2x + 6 = 14

-2x = 8

x = -4

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

To solve for the variable x, we're going to isolate it.

First step is: Subtracting 6 by both sides:

[tex]-2x+6-6=14-6\\[/tex]

Notice how the +6 and the -6 cancel each other out. So we get:

[tex]-2x=8[/tex]

Second step is to divide both sides by -2:

[tex]\frac{-2}{-2} x=\frac{8}{-2}[/tex]

The -2's cancel each other out to:

[tex]x=-4[/tex]

Answer:

It is linear

Step-by-step explanation:

every time x goes up by 4

y goes up by 16

Answer:

I think it is 145 degrees because 180- 35= 145

Step-by-step explanation:

Answer: Minimum car insurance limits in each state

Step-by-step explanation: With the exception of Florida, every state requires bodily injury liability insurance (BI), while all 50 states plus Washington, D.C., require property damage liability (PD). Roughly half of the states require a type of uninsured/underinsured motorist insurance (UIM). hope this helps. Can u give me brainliest

Answer:

i know this isn't the answer but this should help...

Step-by-step explanation:

8 inch radius:

area: 200.96

circum: 50.25

12 yd rad:

area: 452.16

circum:75.36

20 ft dia:

area: 314

circum:62.8

36 dia:

area:1017.36

circum: 113.04

Answer:44

Step-by-step explanation:

Answer:

15 ways

Step-by-step explanation:

3 sizes x 5 flavors = 15 combinations

Answer:

15

Step-by-step explanation:

if you can make 3 sizes for each flavor and there are 5 flavors then there are 15 ways to get a milkshake 3x5=15

Answer:

x = 5

Step-by-step explanation:

4x - 3 = 2x + 7

Combine like terms:

4x - 2x = 2x

7 + 3 = 10

Set it up:

2x = 10

Divide:

x = 10 ÷ 2

Solve:

x = 5